2112016000 has 64 divisors (see below), whose sum is σ = 5251039560. Its totient is φ = 844800000.

The previous prime is 2112015989. The next prime is 2112016001. The reversal of 2112016000 is 6102112.

It can be written as a sum of positive squares in 4 ways, for example, as 1150023744 + 961992256 = 33912^2 + 31016^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2112016000² = 8921223168512000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2112016001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50001 + ... + 82000.

Almost surely, 2^2112016000 is an apocalyptic number.

2112016000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112016000 is an abundant number, since it is smaller than the sum of its proper divisors (3139023560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112016000 is an equidigital number, since it uses as much as digits as its factorization.

2112016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132030 (or 132008 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 2112016000 is about 45956.6752496305. The cubic root of 2112016000 is about 1283.0169719238.

Adding to 2112016000 its reverse (6102112), we get a palindrome (2118118112).

The spelling of 2112016000 in words is "two billion, one hundred twelve million, sixteen thousand".